WEIGHTED AND LOGARITHMIC LEAST SQUARE METHODS FOR MUTUAL EVALUATION NETWORK SYSTEM INCLUDING AHP AND ANP

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概要

• 論文の詳細を見る

• In this paper we show that the weighted least square (WLS) and the logarithmic least square (LLS) of various methods to solve the mutual evaluation network (MEN) system including the Analytic Hierarchy Process (AHP) and the Analytic Network Process (ANP), are superior to others. Both methods can solve MEN problems without any restrictions of the structure matrix of MEN. We also show that the WLS always gives positive solutions, which generalize the proof by Blankmeyer. We establish the error analysis of WLS and LLS. Especially, we give solving methods of MEN problems with different variances of errors by the WLS and the LLS.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Takahashi Iwaro

  Tsukuba Univ.

• Takahashi Iwaro

  Tsukuba University

• Nishizawa Kazutomo

  Nihon University

• Nishizawa Kazutomo

  Nihon Univ. Chiba Jpn

関連論文

• ESTIMATION METHODS BY STOCHASTIC MODEL IN BINARY AND TERNARY AHP
• WEIGHTED AND LOGARITHMIC LEAST SQUARE METHODS FOR MUTUAL EVALUATION NETWORK SYSTEM INCLUDING AHP AND ANP
• A NEW APPROACH OF REVISING UNSTABLE DATA IN ANP BY BAYES THEOREM

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